# Aptitude - Simplification - Discussion

Discussion Forum : Simplification - General Questions (Q.No. 6)
6.
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
Rs. 120
Rs. 160
Rs. 240
Rs. 300
Explanation:

Let C's share = Rs. x

 Then, B's share = Rs. x ,   A's share = Rs. 2 x x = Rs. x 4 3 4 6

 x + x + x = 1360 6 4

 17x = 1360 12

 x = 1360 x 12 = Rs. 960 17

 Hence, B's share = Rs. 960 = Rs. 240. 4

Discussion:
34 comments Page 1 of 4.

Chandrika said:   2 years ago
A+B+C=1360-->1.

We don't know the c value.
Let us assume C=x.
A=2/3*B.
B=(1/4) *C.
=(1/4)*x=>x/4.
A=2/3*x/4=>2x/12=>x/6.
From 1,A+B+C=1360.

x/6+x/4+x=1360=>(2x+3x+12x)/12=1360.
17x=1360*12=>x=(1360*12)/17=>960,
B=x/4=>960/4=>Rs.240.
(1)

K.sumana said:   3 years ago
Given x + y + z = 1360.
x = 2/3(y)],
y = 1/4(z),
z = 4y.

Substitute x value and z value in eqn;
we get,
2/3(y) + y + 4y = 1360,
2/3(y) + 5y = 1360,
17/3(y) = 1360,
y = 240.
(4)

Kaushlendra said:   3 years ago
a + b + c = 1360 ---> (1)
a=2/3(b), b=(1/4)(c)
Therefore, c = 4b,
using 1,
b=240 ans.
(2)

MANOJ KUMAR said:   3 years ago
2 + 3 + 12 = 17,
Now we need value of B,
So, 3/17 * 1360=240.

Suryaprabhas said:   4 years ago
How 17 will come? Explain clearly.

Baburam said:   5 years ago
Take lcm of 2,3,5,4 = 60,
Now c get 60,
B get 1/4 of b 1/4*60=15.
A get 2/3 of b get 2/3*15=10,
Now the ratio of a b c is 2:3:12,
Then B share is 3/17*1360=240.
(1)

Shivani said:   6 years ago
A +B + C =1360.............(eq1)
A = 2/3 B.............(eq2)
B =1/4 C...............(eq3).

So, simplify C in terms of B bcz we have to find B's share.
;C =4B.

Now put this values in eq 1.
2/3B +B + 4B =1360,
On taking l.c.m.
2B +3B+ 12B =4080,
17 B = 4080,
B =4080/17,
B =240.
(2)

Sujay said:   6 years ago
How 17x will come? Please explain.

Shivani said:   6 years ago
I can't understand how B is multiplied by 1/4.